Abstract: An accurate analytic method of a composite material plate with different hexagon holes is founded based on the conformal mapping of complex function theory. The analytic equations of a hole-edge stress field of a complex hole-shape are gained. Because the bending moment and shearing force can cause great harms to a composite material structure with holes, as an example of composite material plates with hexagon holes, the comprehensive analysis and calculation on the distributions and the peak values of the hole-edge stress are made by shearing load and bending moment according to the calculation model. The analysis is made for the influence of geometric parameters on the hole-edge stress field, such as the ratio of length to width. The comparison is made between the influence of shearing load and that of bending moment on the hole-edge stress field of a hexagon hole with various parameters. And so does the influence of two types of loads on the hole-edge stress field.